You can use:
1. LA theorem, because you have
- leg ED is congruent to leg KJ;
- ∠FED is congruent to ∠LKJ.
2. AAS Postulate, because
- side ED is congruent to side KJ;
- ∠FED is congruent to ∠LKJ;
- ∠EFD is congruent to ∠KLJ.
3. ASA Postulate, because
- side ED is congruent to side KJ;
- ∠FED is congruent to ∠LKJ;
- ∠EDF is congruent to ∠KJL.
